Extended States in a One-dimensional Generalized Dimer Model

Abstract

The transmission coefficient for a one dimensional system is given in terms of Chebyshev polynomials using the tight-binding model. This result is applied to a system composed of two impurities located between $N$ sites of a host lattice. It is found that the system has extended states for several values of the energy. Analytical expressions are given for the impurity site energy in terms of the electron's energy. The number of resonant states grows like the number of host sites between the impurities. This property makes the system interesting since it is a simple task to design a configuration with resonant energy very close to the Fermi level $E_F$.

4 pages, 3 figures

Cited by in corpus (4)

• Stochastic description of the dynamics of the random-exchange Heisenberg chain
• Transmission properties of the one-dimensional array of delta potentials
• Metal-insulator transition in one-dimensional lattices with chaotic energy sequences
• Recurrence in resonant transmission of one-dimensional array of delta potentials